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New method prices symbolic rules for GNNs by measuring unlearned information

Researchers have developed a new method to price symbolic rules for graph neural networks (GNNs) by quantifying what the networks fail to learn. This approach replaces the traditional yardstick of log-loss reduction with an exact measure of a rule's potential gain, which is then adjusted for the neural debt incurred. The method involves discovering rules by scoring candidate rules against the network's residual errors, controlling for family-wise errors. This technique successfully recovered a hidden ring term on the ZINC dataset and outperformed expert-designed rules on several other datasets, demonstrating its effectiveness in rule discovery and application. AI

IMPACT This research could lead to more effective rule discovery and integration in GNNs, potentially improving their performance on complex tasks.

RANK_REASON This is a research paper detailing a new method for pricing symbolic rules in graph neural networks. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.NE (Neural & Evolutionary) →

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New method prices symbolic rules for GNNs by measuring unlearned information

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This is a research paper detailing a new method for pricing symbolic rules in graph neural networks. [lever_c_demoted from research: ic=1 ai=1.0]
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  1. arXiv cs.NE (Neural & Evolutionary) TIER_1 English(EN) · Prithwineel Paul ·

    Pricing Symbolic Rules by What GNNs Leave Unlearned

    Symbolic knowledge (motif counts, ring counts, label constraints) is routinely added to graph neural networks (GNNs) and justified by their limited expressivity. We replace this yardstick with an exact one. The largest log-loss reduction a rule $S$ can give a model family is $I(Y…